# Introduction To Proof Assignment And Quiz

## Unlock all answers in this set

question
Which statement is true about the diagram?
âˆ BEA â‰… âˆ BEC
question
Segment AB is congruent to segment AB. This statement shows the _____ property
reflexive
question
Given that RT â‰… WX, which statement must be true?
RT + TW = WX + TW
question
A two-column proof
contains a table with a logical series of statements and reasons that reach a conclusion.
question
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?
AK + BK = AC
question
What is the missing justification?
transitive property
question
Given that âˆ CEA is a right angle and EB bisects âˆ CEA, which statement must be true?
mâˆ CEB = 45Â°
question
Given that âˆ ABC â‰… âˆ DBE, which statement must be true?
âˆ ABD â‰… âˆ CBE
question
Which statement is true about the diagram?
K is the midpoint of AB.
question
Given that BA bisects âˆ DBC, which statement must be true?
mâˆ ABD = mâˆ ABC
question
Name the three different types of proofs you saw in this lesson. Give a description of each.
One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof.
question
Which property is shown? If mâˆ ABC = mâˆ CBD, then mâˆ CBD = mâˆ ABC
symmetric property
question
EB bisects âˆ AEC. What statements are true regarding the given statement and diagram?
âˆ CED is a right angle. âˆ CEA is a right angle. mâˆ CEB = mâˆ BEA mâˆ DEB = 135Â°
question
Given: mâˆ ABC = mâˆ CBD Prove: BC bisects âˆ ABD. Justify each step in the flowchart proof.
A: given B: definition of congruent C: definition of bisect
question
Describe the main parts of a proof.
Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
question
Given: EB bisects âˆ AEC. âˆ AED is a straight angle. Prove: mâˆ AEB = 45Â° Complete the paragraph proof. We are given that EB bisects âˆ AEC. From the diagram, âˆ CED is a right angle, which measures __Â° degrees. Since the measure of a straight angle is 180Â°, the measure of angle ______ must also be 90Â° by the _____. A bisector cuts the angle measure in half. mâˆ AEB is 45Â°.